On regular power-substitution.

DOI10.1007/S11401-008-0386-1zbMath1197.16013OpenAlexW2034094831MaRDI QIDQ1044809

Huanyin Chen

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-008-0386-1

zbMATH Keywords

regular elementsstable range conditionsstably free modulespower-cancellationpower-substitution

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stable range conditions (19B10)

Cites Work

• On JB-rings.
• The power substitution property for rings of continuous functions
• Self-cancellation of modules having the finite exchange property.
• Power cancellation for artinian modules
• Exchange rings with stable range one
• Power-substitution,exchange rings and unit II-regularity
• The power-substitution condition of endomorphism rings of quasi-projective modules
• Separative Ideals, Clean Elements, and Unit-Regularity
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